Solids with a Pair or More of Identical Faces

Q. A barn with a flat roof is rectangular in shape, $10m$. wide, $13m$. long and $5m$. high. It is to be painted inside and outside, and on the ceiling, but not on the roof or floor. The total area in sq. m. to be painted is:

1. 460
   
2. 360
   
3. 590
   
4. 490
   

Q.

A cuboid whose length, breadth and height are equal is called a ___________.

1. Hexagon

2. Pentagon

3. Cube

4. Cuboid

Q.

Question 15
If three cubes each of edge 4 cm are placed end to end, then the dimensions of resulting solid are

a) $12cm\times 4cm\times 4cm$

b) $4cm\times 8cm\times 4cm$

c) $4cm\times 8cm\times 12cm$

d) $4cm\times 6cm\times 8cm$

Q.

A cuboid whose length, breadth and height are equal is called a ___________.

1. Hexagon

2. Pentagon

3. Cube

4. Cuboid

Q.

Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.

Q.

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in their volumes is 360 cm³. Find their height.

1. 18 cm

2. 15 cm

3. 16 cm

4. 14 cm

Q.

There are 2 cubes A and B each of volume X $c{m}^3$. Cube B is cut into smaller cubes each of volume Y $c{m}^3$. The surface area and volumes of the resulting cubes are compared.

S1: The ratio of volumes of A and B = 1:1

S2 : The ratio of surface areas of A and B = 1:1

1. S1 is true but S2 is false

2. S1 is false but S2 is true

3. S1 and S2 are true

4. S1 and S2 are false

Q. The perimeter of a triangle with sides 7 cm, 8 cm, 9 cm is ___ .

1. 21 cm
2. 22 cm
3. 23 cm
4. 24 cm

Q. What is the area of a rhombus with diagonals 7 cm and 12 cm?

1. 84 sq. cm
2. 21 sq. cm
3. 42 sq. cm
4. 32 sq. cm

Q. What is the perimeter of a rectangle with dimensions 6 cm x 10 cm?

1. 30 cm
2. 32 cm
3. 34 cm
4. 36 cm